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Finding the Third Proportional to 51,302 and 110,506

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Solution

The third proportional to 51,302 and 110,506 is: 238,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,302 : 110,506 = 110,506 : x
  2. Step 2: Convert to fraction form
    51,302/110,506 = 110,506/x
  3. Step 3: Cross multiply
    51,302x = 110,506 × 110,506
  4. Step 4: Simplify right side
    51,302x = 12,211,576,036
  5. Step 5: Solve for x
    x = 12,211,576,036/51,302
  6. Step 6: Final answer
    x = 238,033.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.